Analysis Seminar

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Short-Time Strichartz Estimates and Small-Mass Global Well-Posedness for Mass-Critical NLS on Tori

Speaker: Nikolaos Skouloudis, MIT

Location: Warren Weaver Hall 1302

Date: Thursday, September 17, 2026, 11 a.m.

Synopsis:

In this talk, I will discuss the small-mass global well-posedness for the one-dimensional periodic quintic NLS in H^s for s>0. The equation is mass-critical and Bourgain proved local well-posedness in H^s for s>0. I will explain how to combine a new derivative-loss-free short-time Strichartz estimate with the I-method to obtain global well-posedness.